Computational Finite Difference Scheme For Solving Second-Order Fredholm Integro-Differential Equations

In this study, the computational finite difference scheme of Non-Standard Finite Difference Methods (NSFDM) for solving second-order Fredholm Integro-differential equations will be built. The numerical technique and the exact answer coincide at any point inside the interval of integration, according to the method's structure. A methodological study was also performed to demonstrate that the solutions to the second-order Fredholm integro-differential problem have a matching finite difference scheme. The resulting approach was then used to solve various current second-order Fredholm integro-differential equation problems, and the numerical comparison of results demonstrate the closeness and dependability of the derived finite difference scheme.